Abstract
ABSTRACTThis work deals with a physical one- and two-dimensional (1D and 2D) parameters estimation of a filtration process of slurry, the second stage of phosphoric acid manufacture. This study focuses on recursive least square and instrumental variable techniques applied to the (1D) and (2D) models. The model of the rotary drum filter is based on different physical laws involved in the filtration phase in order to get a simulator of the filtration process. Besides, many physical parameters rise in the system model and effect enormously the efficiency which should be modelled with precision such as permeability, porosity and viscosity. We use a constructive realization procedure for (2D) systems which may lead to a Fornasini–Marchesini local state-space model to describe the dynamic of the system states.
Highlights
Membrane filtration technology and low pressure membrane technology have been widely applied in liquid aspiration fields more and more [1]
We describe the dynamic behaviour of a rotary drum filter by an homogeneous twodimensional (2D) model
Our contribution is mainly based on the modelling of a rotary drum filter using physical laws and concerned with the realization problem for a given (2D) MIMO system by the (FM-II) model
Summary
Membrane filtration technology and low pressure membrane technology have been widely applied in liquid aspiration fields more and more [1]. It is well known that membrane separation processes are considered very beneficial, advanced and efficient technologies to use in factories. We are interested in the rotary drum filter which ensures the separation between the phosphoric acid and the phosphogypsum. We describe the dynamic behaviour of a rotary drum filter by an homogeneous twodimensional (2D) model. Investigations on (2D) systems have been related to state-space model realization and stability [11], estimation and observers [12,13,14] and filtering [15,16,17]. Our contribution is mainly based on the modelling of a rotary drum filter using physical laws and concerned with the realization problem for a given (2D) MIMO system by the (FM-II) model.
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